Divide −3/17 by by −2/3
(1 point)
Responses
9/34
−9/34
−2/17
2/17
To divide −3/17 by −2/3, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of −2/3 is −3/2.
Therefore, (-3/17) / (-2/3) = (-3/17) * (-3/2) = 9/34.
So the correct answer is 9/34.
To divide −3/17 by −2/3, follow these steps:
Step 1: Invert the second fraction: −2/3 becomes 3/−2.
Step 2: Multiply the numerators: −3 * 3 = −9.
Step 3: Multiply the denominators: 17 * −2 = −34.
Step 4: Simplify the fraction if possible: −9/−34 can be simplified by dividing both the numerator and denominator by their greatest common divisor (which is 1): −9 divided by −1 is 9, and −34 divided by −1 is 34.
Therefore, the result of dividing −3/17 by −2/3 is 9/34.
The correct answer is 9/34.
To solve the division problem (-3/17) ÷ (-2/3), you can follow these steps:
Step 1: Invert the divisor (the second fraction) by swapping the numerator and denominator. This changes the division operation to a multiplication operation.
-2/3 becomes -3/2.
Step 2: Multiply the dividend (the first fraction) by the inverted divisor.
(-3/17) * (-3/2) = (-3 * -3) / (17 * 2) = 9/34.
Therefore, the correct answer is 9/34.